A certain brand of coffee comes in 2 sizes. A 10.5 ounce package costs $2.99. A 29.3 ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answer to the nearest cent.
To find the unit price for each size, we divide the cost by the number of ounces:
For the 10.5 ounce package: $2.99 / 10.5 oz = $0.285714285714286 per ounce
For the 29.3 ounce package: $7.98 / 29.3 oz = $0.272115897967212 per ounce
Rounded to the nearest cent, the unit price for the 10.5 ounce package is $0.29 per ounce, and the unit price for the 29.3 ounce package is $0.27 per ounce.
Based on the unit price, the 29.3 ounce package is the better buy.
To find the unit price for each size, we can divide the cost of each package by its corresponding size.
For the 10.5 ounce package:
Unit price = Cost / Size = $2.99 / 10.5 ounces
For the 29.3 ounce package:
Unit price = Cost / Size = $7.98 / 29.3 ounces
Calculating these values:
For the 10.5 ounce package:
Unit price = $2.99 / 10.5 ounces = $0.2857 per ounce
For the 29.3 ounce package:
Unit price = $7.98 / 29.3 ounces = $0.2722 per ounce
Rounding the unit prices to the nearest cent:
For the 10.5 ounce package: $0.29 per ounce
For the 29.3 ounce package: $0.27 per ounce
Based on the unit price, the 29.3 ounce package is the better buy as it has a lower unit price.